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Simplifying 8w + -1(5w + -8) = 18 + 5w Reorder the terms: 8w + -1(-8 + 5w) = 18 + 5w 8w + (-8 * -1 + 5w * -1) = 18 + 5w 8w + (8 + -5w) = 18 + 5w Reorder the terms: 8 + 8w + -5w = 18 + 5w Combine like terms: 8w + -5w = 3w 8 + 3w = 18 + 5w Solving 8 + 3w = 18 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 8 + 3w + -5w = 18 + 5w + -5w Combine like terms: 3w + -5w = -2w 8 + -2w = 18 + 5w + -5w Combine like terms: 5w + -5w = 0 8 + -2w = 18 + 0 8 + -2w = 18 Add '-8' to each side of the equation. 8 + -8 + -2w = 18 + -8 Combine like terms: 8 + -8 = 0 0 + -2w = 18 + -8 -2w = 18 + -8 Combine like terms: 18 + -8 = 10 -2w = 10 Divide each side by '-2'. w = -5 Simplifying w = -5
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